Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
3030h |
Isogeny class |
Conductor |
3030 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
579600 |
Modular degree for the optimal curve |
Δ |
-1.0927373677998E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 0 -5 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17802634,-58013330308] |
[a1,a2,a3,a4,a6] |
Generators |
[17728:2271059:1] |
Generators of the group modulo torsion |
j |
-623988329611290511411835929/1092737367799773234462720 |
j-invariant |
L |
2.9867220337264 |
L(r)(E,1)/r! |
Ω |
0.034699237597694 |
Real period |
R |
2.4592734929426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24240w1 96960n1 9090y1 15150bd1 |
Quadratic twists by: -4 8 -3 5 |